An architecture firm makes a blueprint
for a building with scale 1 in. = 8 ft. If
the building's length is 82 feet, what is
the length of the blueprint?

Hello, please consider the following.

PART 2

Let's note [tex](x_i)_{1\leq i\leq 11}[/tex] the 11 numbers.

We can write the following

[tex]x_1^2+...+x_{11}^2=(x_1+1)^2+...+(x_{11}+1)^2\\\\=x_1^2+...+x_{11}^2+2(x_1+...+x_{11})+11\\\\\text{So } 2(x_1+...+x_{11})+11 = 0\\\\(x_1+2)^2+...+(x_{11}+2)^2=x_1^2+...+x_{11}^2+4(x_1+...+x_{11})+4*11\\\\\text{As we know that }2(x_1+...+x_{11})+11 = 0\\4(x_1+...+x_{11})+4*11=-11*2+4*11=22[/tex]

So the sum of squares changes by

[tex]\boxed{ \ 22 \ }[/tex]

PART 4

Let's say that we have n points at the beginning.

We will add n-1 points the first time, we will get n + n  - 1 = 2n -1 points.

And then, the second time we add 2n - 1 - 1 points and we get

2n - 1 +2n - 2 = 4n - 3.

Finally, we do it a last time, we add 4n - 3 - 1 points and we get 4n - 3 + 4n - 4 points = 8n - 7  and it must be 65.

So, 8n -7 = 65 <=> 8n = 65+7=72  <=> n = 72/8=9

[tex]\boxed{= \ 9}[/tex]

Thank you

Answer:

Exteririor angles mean the angles not in the triangle. So the 2 4 and 3

A, D, C

Answer:

Angles two, three, and four.

Step-by-step explanation:

Exterior angles are the angles that lie outside the triangle: in this case, 1, 5, and 6 are the angles which make up the triangle, meaning 2, 3, and 4 are exterior.

Answer:

Option B.

Step-by-step explanation:

A relation is called a function if there exist unique value of y for each value of x.

In option (a), [tex]\{3,7,-7,9\}[/tex] is set not a relation.

In option (b), [tex]\{(3,9),(7,-4),(-7,7)\}[/tex] is function because there exist unique value of y for each value of x.

In option (c), [tex]\{(3,9),(7,-4),(3,7)\}[/tex] is not function because there exist two value of y, which are 9 and 7, for x=3.

In option (d), [tex]\{(3,9),(7,-4),(7,6),(-7,7)\}[/tex] is not function because there exist two value of y, which are -4 and 6, for x=7.

Therefore, the correct option is B.

Answer: B.{(3,9), (7. - 4), (-7,7)}

Step-by-step explanation: got it right on edge

Answer:

Step-by-step explanation:

This is a linear pair, whose sum always equals 180 degrees,

hence, we can set up the equation:

2z+140=180

2z=180-140

2z=40

z=40/2

z=20

Thus, the answer is 20 degrees

Answer:

z = 20°

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

2z+ 140 = 180

Subtract 140 from each side

2z+140-140 = 180-140

2z = 40

Divide by 2

2z/2 = 40/2

z = 20

Answer:

[tex]A=\frac{x^4y^9+3x^4y^9}{2}4x^2y^5=2x^4y^9(4x^2y^5)=8x^6y^{14}[/tex]

Answer:

5/10

Step-by-step explanation:

0.5 is 5 tenths which is 5/10

Answer: 11b^2 + 3b - 1

Step-by-step explanation:

(5b^2 + 3b + 4) + (6b^2 - 5)

5b^2 + 3b + 4 + 6b^2 - 5

11b^2 + 3b -1

Answer:

4.7 meters

Step-by-step explanation:

Hope this helps!  : )

Answer:

4.7 meter

Step-by-step explanation:

Answer:

D (2, 5)

Step-by-step explanation:

To find the vertex of the quadratic function , we will follow the steps below

(x,y) =  [-b/2a  , f(-b/2a)]

x = -b /2a         y = f(-b/2a)

The standard equation of a quadratic equation is  y =ax² + bx + c

compare the above with the equation given, y = 3x² - 12x + 17

a = 3   b= -12   and c= 17

x = -b/2a

x = -(-12)/2(3)

x = 12/6

x = 2

y = f(-b/2a)

y = f (-b/2a) = f(x) = f (2)

y = f(x) =3x² - 12x + 17

To find f(2) simply mean to substitute x = 2 into the quadratic function above. That is;

f(2) = 3(2)² - 12(2) + 17

f(2) =12-24 + 17

f(2) =5

x = 2   and    y  = 5

(x,y)  = (2, 5)

=========================================================

Explanation:

Vertex form is

y = a(x-h)^2 + k

We are told the vertex is (3,-2), so we know (h,k) = (3,-2)

y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2

--------

Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'

y = a(x-3)^2 - 2

3 = a(4-3)^2 - 2

3 = a(1)^2 - 2

3 = a - 2

3+2 = a

5 = a

a = 5

This is the coefficient of the x^2 term since the standard form is y = ax^2+bx+c.

Answer:

x= 4   and y =-3

Step-by-step explanation:

To find the  pair that is the solution to the system of equations, we will follow the steps below;

y = -1/2 x  - 1 -----------------------------------------------------------------------------------(1)

y = -3x + 9 ---------------------------------------------------------------------------------------(2)

substitute equation (1) in equation (2)

-1/2 x  - 1  = -3x + 9

collect like term

-[tex]\frac{1}{2}X[/tex]  + 3x = 9 + 1

-x+ 6x /2 = 10

5x /2 = 10

multiply  both-side of the equation by 2

5x = 20

Divide both-side of the equation by 5

x = 4

substitute x = 4 into equation (2)

y = -3x + 9

y = -3(4) + 9

y = -12 + 9

y = -3

The solution is

x= 4   and y =-3

Answer:

48 7/8

I hope this helps.

Answer:

Step-by-step explanation:

48 7/8

Answer:

Addition property of equality

Step-by-step explanation:

Answer:

  The correct asnwer for this question is C. addition property of equailty

Hope this helps, and have a wonderful day! :)

Step-by-step explanation:

The area of the hexagon is the amount of space on it

The area of the hexagon is 374.112 square inches

The perimeter is given as:

P = 72 inches

The length of the hexagon is calculated using:

L = P/6

So, we have:

L =72/6 = 12

The area is then calculated as:

A = 1.5[tex]\sqrt 3[/tex] * L^2

This gives

A = 1.5[tex]\sqrt 3[/tex] * 12^2

Evaluate the product

A = 374.112

Hence, the area of the hexagon is 374.112 square inches

Read more about areas at:

https://brainly.com/question/24487155

Answer:

[tex]25[/tex]

Step-by-step explanation:

[tex]125^2 \div 125^{4/3}\\[/tex]

[tex]125^{2-4/3}[/tex]

[tex]125^{2/3}[/tex]

[tex]\sqrt[3]{125} ^2[/tex]

[tex]5^2[/tex]

[tex]=25[/tex]

Answer:

The answer is a. Jamie has $8, and she pays $2 per day to ride the bus.

Step-by-step explanation:

When looking at the graph, you can see that you start with $8. You lose $2 per day. That is why you are losing money per day.

Answer:

A

Step-by-step explanation:

When you look at the graph you can see the she originally has $8, and then her mone decreases by 2 a day, which is due to bus ride fees.

Answer:

From what chapter of a book?

Step-by-step explanation:

Answer:

he is making an appeal to someone to do something about something that he knows would be good for everyone

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

a fraction will almost always be division

Answer:

C

Step-by-Step explanation:

6/17 = 0.35

Answer:

N>4

Step-by-step explanation:

Plugin numbers based on your options. Just check if any number less than four fits, if not, next option. In this case if you plug in 4, 4 * 6 = 24 which is equal to 20 more than 4 which is 24. Since our option is N>4 we can try 5 which will work and so will every number after that.

Answer:

The distance that Peter rides is:

Step-by-step explanation:

To identify the miles that Peter rides, you must imagine the triangle with measures: 3.36 miles, 4.18 miles, and 5.61 miles. How you can suppose, Peter regularly rides exactly by each side of the triangle mentioned, then you must find the perimeter of the triangle to identify the miles that Peter rides, remember that the perimeter of an irregular triangle is:

If you replace the formula, you obtain:

Answer:

kn=15

nm=20

Step-by-step explanation:

The lengths of sides KN and NM of the kite

KN =  15   units

NM =   20 units

A kite is a quadrilateral with four sides that may be divided into two neighboring pairs of equal length sides. A parallelogram, on the other hand, has two sets of equal-length sides, but they are opposed to one another as opposed to being adjacent.

Given:

KLMN is a kite.

According to the given kite,

KN = KL........ (1)  

and LM = NM........ (2)

From equation (1)

y + 10 = 2y + 5

y = 5.

Now,

3x -1 = 2x + 6

x = 7

We get,

LM = MN = 20

KN =  15   units

NM =   20 units

To learn more about the kite's shape;

https://brainly.com/question/20955975

#SPJ6

Answer:

Todd's Z-score is - 0.27    

Step-by-step explanation:

Explanation:-

Step(i):-

Given data A test is normally distributed with a mean of 70 and a standard deviation of 10.

Mean of the population 'μ' = 70

Standard deviation of the Population ' σ ' = 10

let 'x' be the random variable in normally distributed

Step(ii):-

Given raw score  'x' = 55

Todd's Z-score

                      [tex]Z = \frac{x-mean}{S.D}[/tex]

                     [tex]Z = \frac{55-70}{55}[/tex]

                     Z = -0.27

Final answer:-

Todd's Z-score is - 0.27                    

Answer:

see below

Step-by-step explanation:

Because the sum of all angles in a quadrilateral is 360° we have:

90 + 101 + 12x + 3 + 9x - 2 = 360

21x + 192 = 360

21x = 168

x = 8°

Answer:

The value of x is 8.

Step-by-step explanation:

Given that total angles in a quadrilateral is 360°. So in order to find x, you have to add up all the angles together to make it equals to 360° :

[tex]101 + 12x + 3 + 9x - 2 + 90 = 180[/tex]

[tex]192 + 21x = 360[/tex]

[tex]21x = 360 - 192[/tex]

[tex]21x = 168[/tex]

[tex]x = 168 \div 21[/tex]

[tex]x = 8[/tex]

Answer:

tanB

Step-by-step explanation:

In the picture attached, the question is shown.

By definition:

tan(β) = opposite/adjacent

From the picture, for angle B the opposite side measure 8 units and the adjacent side measures 15 units. Replacing into the equation:

tan(B) = 8/15

Answer:

1. 4

2. -4

3. -4

Step-by-step explanation:

Let's look carefully at each problem and explain it.

1. (-2)^2

This means find the square of the number -2. Since the square of a number means multiplying the number by itself, then

(-2)^2 means the product (-2) * (-2),

and since the product of two negative numbers is positive, then

(-2)^2 = (-2) * (-2) = 4

Answer is 4.

2. -2^2

Here, the exponent applies only to the 2, not to -2. This problem means square 2 and then take the opposite of the product. This can be written as

-(2^2)

-2^2 = -(2^2) = -(2 * 2) = -(4) = -4

Answer is -4.

3. -(2)^2

This is the same as problem 2 above. You square the 2 first, then take its negative.

-(2)^2 = -(2^2) = -(2 * 2) = -(4) = -4

Answer is -4

Answer:

C the table and the equation

Hope this helps :)

Answer:

x=6

Step-by-step explanation:

(2+x)+1=2x-3

3+x=2x-3 .     Combine like terms

6+x=2x          Add 3 to both sides

x=6                Subtract X from both sides